101601016101 has 24 divisors (see below), whose sum is σ = 158661037080. Its totient is φ = 62280400896.

The previous prime is 101601016091. The next prime is 101601016141. The reversal of 101601016101 is 101610106101.

101601016101 is a `hidden beast` number, since 1 + 0 + 1 + 601 + 0 + 1 + 61 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12265784001 + 89335232100 = 110751^2 + 298890^2 .

It is not a de Polignac number, because 101601016101 - 2⁶ = 101601016037 is a prime.

It is a super-2 number, since 2×101601016101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101601016141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659396 + ... + 1719533.

It is an arithmetic number, because the mean of its divisors is an integer number (6610876545).

Almost surely, 2^101601016101 is an apocalyptic number.

It is an amenable number.

101601016101 is a deficient number, since it is larger than the sum of its proper divisors (57060020979).

101601016101 is a wasteful number, since it uses less digits than its factorization.

101601016101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379205 (or 3379202 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 101601016101 in words is "one hundred one billion, six hundred one million, sixteen thousand, one hundred one".